Scattering properties of multilayer chiral particles by Hermite-Gaussian beams

This study, based on the Generalized Lorenz-Mie Theory (GLMT), focuses on the scattering trait of multilayer chiral spherical particles in the presence of high-order Hermite-Gaussian beam (HGB). The spherical vector wave functions (SVWFs) of high-order HGBs were derived using the complex source point method and extended to arbitrary directions through the coordinate rotation theorem. By substituting the beam expressions into the electromagnetic field boundary continuity conditions and combining them with the iterative relationships of multilayer sphere, the scattering coefficients for each region of the multilayer sphere were calculated. To verify the accuracy of the algorithm and theoretical framework, we simplified the beam and particle models and compared the results with those in existing literature. The study thoroughly examined the effects of various factors, including beam order, incidence angle, particle chirality, waist radius, polarization angle, and number of layers, on the near-field, internal-field, and far-field scattering results. These research findings provide significant theoretical and experimental guidance for the identification and manipulation of multilayer biological particle structures.